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Finding the Fourth Proportional to 1,306.65, 1,959.24 and 527.02

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Solution

The fourth proportional to 1,306.65, 1,959.24 and 527.02 is: 790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.65 : 1,959.24 = 527.02 : x
  2. Step 2: Convert to fraction form
    1,306.65/1,959.24 = 527.02/x
  3. Step 3: Cross multiply
    1,306.65x = 1,959.24 × 527.02
  4. Step 4: Simplify right side
    1,306.65x = 1,032,563.80
  5. Step 5: Solve for x
    x = 1,032,563.80/1,306.65
  6. Step 6: Final answer
    x = 790.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.